Sur les limites homotopiques de diagrammes homotopiquement cohérents

J. M. Cordier

Compositio Mathematica (1987)

  • Volume: 62, Issue: 3, page 367-388
  • ISSN: 0010-437X

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Cordier, J. M.. "Sur les limites homotopiques de diagrammes homotopiquement cohérents." Compositio Mathematica 62.3 (1987): 367-388. <http://eudml.org/doc/89846>.

@article{Cordier1987,
author = {Cordier, J. M.},
journal = {Compositio Mathematica},
keywords = {homotopy colimit of a simplically enriched functor; homotopy limits; homotopy coherent diagrams; simplicially enriched categories; Bousfield- Kan homotopy limit; indexed limit; diagonal simplicial set of a bisimplicial set construction; comma category; bar resolution of the simplicial indexing category; Artin-Mazur total complex of a bisimplicial set},
language = {fre},
number = {3},
pages = {367-388},
publisher = {Martinus Nijhoff Publishers},
title = {Sur les limites homotopiques de diagrammes homotopiquement cohérents},
url = {http://eudml.org/doc/89846},
volume = {62},
year = {1987},
}

TY - JOUR
AU - Cordier, J. M.
TI - Sur les limites homotopiques de diagrammes homotopiquement cohérents
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 62
IS - 3
SP - 367
EP - 388
LA - fre
KW - homotopy colimit of a simplically enriched functor; homotopy limits; homotopy coherent diagrams; simplicially enriched categories; Bousfield- Kan homotopy limit; indexed limit; diagonal simplicial set of a bisimplicial set construction; comma category; bar resolution of the simplicial indexing category; Artin-Mazur total complex of a bisimplicial set
UR - http://eudml.org/doc/89846
ER -

References

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  1. [A-M] M. Artin et B. Mazur: On the Van Kampen Theorem. Topology Vol. 5 (1966) 179-189. Zbl0138.18301MR192495
  2. [B-C] D. Bourn et J.M. Cordier: A general formulation of homotopy limit. J. Pure Appl. Algebra29 (1983) 129-141. Zbl0575.55006MR707615
  3. [B-K] A.K. Bousfield et D.M. Kan: Homotopy limits, completions and localization. Lecture Notes in Math.304. Springer (1972). Zbl0259.55004MR365573
  4. [Bo-Ke] F. Borceux et G.M. Kelly: A notion of limit for enriched categories. Bull. Australian Math. Soc.12 (1975) 49-72. Zbl0329.18011MR369477
  5. [C] J.M. Cordier: Sur la notion de diagramme homotopiquement cohérent. Cahiers Top. et Géom. Diff. XXIII1 (1982) 93-112. Zbl0493.55009MR648798
  6. [D-K] W.G. Dwyer et D.M. Kan: Simplicial localizations of categories. J. Pure Appl.17 (1980) 267-284. Zbl0485.18012MR579087
  7. [E-H] D.A. Edwards et H.M. Hastings: Cech and Steenrod homotopy theories with applications to geometric topology. Lecture Notes in Math.542. Springer (1976). Zbl0334.55001MR428322
  8. [G] J.W. Gray: Closed categories, lax limits and homotopy limits. J. Pure Appl. Algeba19 (1980) 127-158. Zbl0462.55008MR593251
  9. [S] G.B. Segal: Categories and cohomology theories. Topology Vol.13 (1974) 293-312. Zbl0284.55016MR353298
  10. [St] R. Street: (1) Two constructions on lax functors. Cahiers Top. et Géom. Diff.XIII3 (1972) 217-264;(2) Limits indexed by category-valued 2-functors. J. Pure Appl. Algebra8 (1976) 149-181. Zbl0335.18005MR347936
  11. [T] R.W. Thomason: Homotopy colimits in the category of small categories. Math. Proc. Camb. Phil. Soc.85 (1979) 91-109. Zbl0392.18001MR510404
  12. [V] R.M. Vogt: Homotopy limits and colimits. Math. Z.134 (1973) 11-52. Zbl0276.55006MR331376
  13. [Z] M. Zisman: Comparaison de deux diagonales. Communication personnelle (1983). 

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